Journal article
Optimized steering: Quantum state engineering and exceptional points
Physical review. A, Vol.105(1)
18/Jan/2022
Abstract
The state of a quantum system may be steered towards a predesignated target state, employing a sequence of weak blind measurements (where the detector's readouts are traced out). Here we analyze the steering of a two-level system using the interplay of a system Hamiltonian and weak measurements and show that any pure or mixed state can be targeted. We show that the optimization of such a steering protocol is underlain by the presence of Liouvillian exceptional points. More specifically, for high-purity target states, optimal steering implies purely relaxational dynamics marked by a second-order exceptional point, whereas for low-purity target states, it implies an oscillatory approach to the target state. The dynamical phase transition between these two regimes is characterized by a third-order exceptional point.
Details
- Title
- Optimized steering: Quantum state engineering and exceptional points
- Creators
- Parveen Kumar - 972WIS_INST___90Kyrylo Snizhko - 972WIS_INST___90Yuval Gefen - 972WIS_INST___90Bernd Rosenow - Leipzig University
- Resource Type
- Journal article
- Publication Details
- Physical review. A, Vol.105(1); 18/Jan/2022
- Number of pages
- 6
- Publisher
- AMER PHYSICAL SOC
- Language
- English
- DOI
- https://doi.org/10.1103/PhysRevA.105.L010203
- Grant note
- DMR-2037654 / National Science Foundation; National Science Foundation (NSF) Helmholtz International Fellow Award Israel Science Foundation (ISF); Israel Science Foundation 277101999; TRR 183; EG 96/13-1; GO 1405/6-1 / Deutsche Forschungsgemeinschaft (DFG, German Research Foundation); German Research Foundation (DFG) US-Israel Binational Science Foundation (BSF), Jerusalem, Israel; US-Israel Binational Science Foundation
- Record Identifier
- 993347544603596
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